Question

In an A.P., d = –4 and a = 3. Find the 6th term.​

Answer 1

SolutioN :-

By using AP formula

★ Aₙ = a + ( n - 1 ) d

Here

• a = 3
• d = - 4
• n = 6

Substitute values in formula

→ A₆ = 3 + ( 6 - 1 ) ( - 4 )

→ A₆ = 3 + 5 × ( - 4 )

→ A₆ = 3 - 20

→ A₆ = - 17

∴ 6th term of AP is - 17

Answer 2

Given,

Common difference 'd' = -4

First-term 'a' = 3

To find,

The 6th term i.e. a6

Solution,

The 6th term of the A.P. is -17.

a = 3

d = -4

n = 6

an = a+(n-1)d

a6 = 3+(6-1)(-4)

a6 = 3-(5)(4)

a6 = 3-20

a6 = -17

Hence, the 6th term of an AP whose d = –4 and a = 3 is -17.